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311200212200 = 23522953655209
BaseRepresentation
bin1001000011101001111…
…10100110010011101000
31002202021002002202111012
410201310332212103220
520044314223242300
6354544032323052
731324555105253
oct4416476462350
91082232082435
10311200212200
1110aa85452519
12503903a3488
1323466385cc7
14110c284c09a
158165aea435
hex4874fa64e8

311200212200 has 48 divisors (see below), whose sum is σ = 748490179500. Its totient is φ = 120187665920.

The previous prime is 311200212199. The next prime is 311200212283. The reversal of 311200212200 is 2212002113.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 81987159556 + 229213052644 = 286334^2 + 478762^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26821805 + ... + 26833404.

Almost surely, 2311200212200 is an apocalyptic number.

It is an amenable number.

311200212200 is an abundant number, since it is smaller than the sum of its proper divisors (437289967300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311200212200 is a wasteful number, since it uses less digits than its factorization.

311200212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53655254 (or 53655245 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 311200212200 its reverse (2212002113), we get a palindrome (313412214313).

The spelling of 311200212200 in words is "three hundred eleven billion, two hundred million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 53655209 107310418 214620836 268276045 429241672 536552090 1073104180 1341380225 1556001061 2146208360 2682760450 3112002122 5365520900 6224004244 7780005305 10731041800 12448008488 15560010610 31120021220 38900026525 62240042440 77800053050 155600106100 311200212200